{"id":"https://openalex.org/W3046644157","doi":"https://doi.org/10.34768/amcs-2020-0009","title":"A second-order TV-based coupling model and an ADMM algorithm for MR image reconstruction","display_name":"A second-order TV-based coupling model and an ADMM algorithm for MR image reconstruction","publication_year":2020,"publication_date":"2020-01-01","ids":{"openalex":"https://openalex.org/W3046644157","doi":"https://doi.org/10.34768/amcs-2020-0009","mag":"3046644157"},"language":"en","primary_location":{"id":"doi:10.34768/amcs-2020-0009","is_oa":true,"landing_page_url":"https://doi.org/10.34768/amcs-2020-0009","pdf_url":"https://sciendo.com/pdf/10.34768/amcs-2020-0009","source":{"id":"https://openalex.org/S117679522","display_name":"International Journal of Applied Mathematics and Computer Science","issn_l":"1641-876X","issn":["1641-876X","2083-8492"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310320322","host_organization_name":"De Gruyter Open","host_organization_lineage":["https://openalex.org/P4310320322","https://openalex.org/P4310313990"],"host_organization_lineage_names":["De Gruyter Open","De Gruyter"],"type":"journal"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Applied Mathematics and Computer Science","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://sciendo.com/pdf/10.34768/amcs-2020-0009","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5101412841","display_name":"Bo Zhou","orcid":"https://orcid.org/0000-0002-7152-8182"},"institutions":[{"id":"https://openalex.org/I16609230","display_name":"Hunan University","ror":"https://ror.org/05htk5m33","country_code":"CN","type":"education","lineage":["https://openalex.org/I16609230"]},{"id":"https://openalex.org/I4210140283","display_name":"Cambridge Econometrics (United Kingdom)","ror":"https://ror.org/03gcet659","country_code":"GB","type":"company","lineage":["https://openalex.org/I4210140283"]}],"countries":["CN","GB"],"is_corresponding":false,"raw_author_name":"Bo Zhou","raw_affiliation_strings":["College of Computer Science and Electronic Engineering Hunan University Changsha 410082, Hunan, China","College of Mathematics and Econometrics","Hunan University Changsha 410082, Hunan, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"College of Computer Science and Electronic Engineering Hunan University Changsha 410082, Hunan, China","institution_ids":["https://openalex.org/I16609230"]},{"raw_affiliation_string":"College of Mathematics and Econometrics","institution_ids":["https://openalex.org/I4210140283"]},{"raw_affiliation_string":"Hunan University Changsha 410082, Hunan, China","institution_ids":["https://openalex.org/I16609230"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5111761716","display_name":"Yu-Fei Yang","orcid":null},"institutions":[{"id":"https://openalex.org/I16609230","display_name":"Hunan University","ror":"https://ror.org/05htk5m33","country_code":"CN","type":"education","lineage":["https://openalex.org/I16609230"]},{"id":"https://openalex.org/I198357462","display_name":"Changsha University","ror":"https://ror.org/011d8sm39","country_code":"CN","type":"education","lineage":["https://openalex.org/I198357462"]},{"id":"https://openalex.org/I4210140283","display_name":"Cambridge Econometrics (United Kingdom)","ror":"https://ror.org/03gcet659","country_code":"GB","type":"company","lineage":["https://openalex.org/I4210140283"]}],"countries":["CN","GB"],"is_corresponding":true,"raw_author_name":"Yu-Fei Yang","raw_affiliation_strings":["College of Mathematics and Econometrics","Hunan University Changsha 410082, Hunan, China","School of Computer Engineering and Applied Mathematics Changsha University Changsha 410003, Hunan, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"College of Mathematics and Econometrics","institution_ids":["https://openalex.org/I4210140283"]},{"raw_affiliation_string":"Hunan University Changsha 410082, Hunan, China","institution_ids":["https://openalex.org/I16609230"]},{"raw_affiliation_string":"School of Computer Engineering and Applied Mathematics Changsha University Changsha 410003, Hunan, China","institution_ids":["https://openalex.org/I198357462"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5043436461","display_name":"Bo-Xia Hu","orcid":null},"institutions":[{"id":"https://openalex.org/I149735164","display_name":"Hengyang Normal University","ror":"https://ror.org/006bvjm48","country_code":"CN","type":"education","lineage":["https://openalex.org/I149735164"]},{"id":"https://openalex.org/I16609230","display_name":"Hunan University","ror":"https://ror.org/05htk5m33","country_code":"CN","type":"education","lineage":["https://openalex.org/I16609230"]},{"id":"https://openalex.org/I4210140283","display_name":"Cambridge Econometrics (United Kingdom)","ror":"https://ror.org/03gcet659","country_code":"GB","type":"company","lineage":["https://openalex.org/I4210140283"]}],"countries":["CN","GB"],"is_corresponding":false,"raw_author_name":"Bo-Xia Hu","raw_affiliation_strings":["College of Mathematics and Econometrics","College of Mathematics and Statistics Hengyang Normal University Hengyang 421000, Hunan, China","Hunan University Changsha 410082, Hunan, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"College of Mathematics and Econometrics","institution_ids":["https://openalex.org/I4210140283"]},{"raw_affiliation_string":"College of Mathematics and Statistics Hengyang Normal University Hengyang 421000, Hunan, China","institution_ids":["https://openalex.org/I149735164"]},{"raw_affiliation_string":"Hunan University Changsha 410082, Hunan, China","institution_ids":["https://openalex.org/I16609230"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5111761716"],"corresponding_institution_ids":["https://openalex.org/I16609230","https://openalex.org/I198357462","https://openalex.org/I4210140283"],"apc_list":{"value":4080,"currency":"PLN","value_usd":1100},"apc_paid":{"value":4080,"currency":"PLN","value_usd":1100},"fwci":0.2063,"has_fulltext":false,"cited_by_count":5,"citation_normalized_percentile":{"value":0.55139573,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"30","issue":"1","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10378","display_name":"Advanced MRI Techniques and Applications","score":1.0,"subfield":{"id":"https://openalex.org/subfields/2741","display_name":"Radiology, Nuclear Medicine and Imaging"},"field":{"id":"https://openalex.org/fields/27","display_name":"Medicine"},"domain":{"id":"https://openalex.org/domains/4","display_name":"Health Sciences"}},"topics":[{"id":"https://openalex.org/T10378","display_name":"Advanced MRI Techniques and Applications","score":1.0,"subfield":{"id":"https://openalex.org/subfields/2741","display_name":"Radiology, Nuclear Medicine and Imaging"},"field":{"id":"https://openalex.org/fields/27","display_name":"Medicine"},"domain":{"id":"https://openalex.org/domains/4","display_name":"Health Sciences"}},{"id":"https://openalex.org/T10522","display_name":"Medical Imaging Techniques and Applications","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/2741","display_name":"Radiology, Nuclear Medicine and Imaging"},"field":{"id":"https://openalex.org/fields/27","display_name":"Medicine"},"domain":{"id":"https://openalex.org/domains/4","display_name":"Health Sciences"}},{"id":"https://openalex.org/T11304","display_name":"Advanced Neuroimaging Techniques and Applications","score":0.9994999766349792,"subfield":{"id":"https://openalex.org/subfields/2741","display_name":"Radiology, Nuclear Medicine and Imaging"},"field":{"id":"https://openalex.org/fields/27","display_name":"Medicine"},"domain":{"id":"https://openalex.org/domains/4","display_name":"Health Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.6146316528320312},{"id":"https://openalex.org/keywords/image","display_name":"Image (mathematics)","score":0.5551486015319824},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.5536853671073914},{"id":"https://openalex.org/keywords/coupling","display_name":"Coupling (piping)","score":0.5293726921081543},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5253098607063293},{"id":"https://openalex.org/keywords/computer-vision","display_name":"Computer vision","score":0.374500036239624},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.3621620833873749},{"id":"https://openalex.org/keywords/materials-science","display_name":"Materials science","score":0.10167932510375977},{"id":"https://openalex.org/keywords/economics","display_name":"Economics","score":0.08319014310836792}],"concepts":[{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.6146316528320312},{"id":"https://openalex.org/C115961682","wikidata":"https://www.wikidata.org/wiki/Q860623","display_name":"Image (mathematics)","level":2,"score":0.5551486015319824},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5536853671073914},{"id":"https://openalex.org/C131584629","wikidata":"https://www.wikidata.org/wiki/Q4308705","display_name":"Coupling (piping)","level":2,"score":0.5293726921081543},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5253098607063293},{"id":"https://openalex.org/C31972630","wikidata":"https://www.wikidata.org/wiki/Q844240","display_name":"Computer vision","level":1,"score":0.374500036239624},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.3621620833873749},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.10167932510375977},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.08319014310836792},{"id":"https://openalex.org/C191897082","wikidata":"https://www.wikidata.org/wiki/Q11467","display_name":"Metallurgy","level":1,"score":0.0},{"id":"https://openalex.org/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.34768/amcs-2020-0009","is_oa":true,"landing_page_url":"https://doi.org/10.34768/amcs-2020-0009","pdf_url":"https://sciendo.com/pdf/10.34768/amcs-2020-0009","source":{"id":"https://openalex.org/S117679522","display_name":"International Journal of Applied Mathematics and Computer Science","issn_l":"1641-876X","issn":["1641-876X","2083-8492"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310320322","host_organization_name":"De Gruyter Open","host_organization_lineage":["https://openalex.org/P4310320322","https://openalex.org/P4310313990"],"host_organization_lineage_names":["De Gruyter Open","De Gruyter"],"type":"journal"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Applied Mathematics and Computer Science","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:c4b67ee519b144f18f79524f8f8815fd","is_oa":true,"landing_page_url":"https://doaj.org/article/c4b67ee519b144f18f79524f8f8815fd","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"International Journal of Applied Mathematics and Computer Science, Vol 30, Iss 1, Pp 113-122 (2020)","raw_type":"article"},{"id":"pmh:oai:zbc.uz.zgora.pl:86077","is_oa":false,"landing_page_url":"https://zbc.uz.zgora.pl/dlibra/docmetadata?showContent=true&id=86077","pdf_url":null,"source":{"id":"https://openalex.org/S4306400400","display_name":"Digital library of Zielona Gora (University of Zielona G\u00f3ra)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I46305939","host_organization_name":"University of Zielona G\u00f3ra","host_organization_lineage":["https://openalex.org/I46305939"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"https://www.amcs.uz.zgora.pl/?action=papers&issue=115","raw_type":"artyku\u0142"}],"best_oa_location":{"id":"doi:10.34768/amcs-2020-0009","is_oa":true,"landing_page_url":"https://doi.org/10.34768/amcs-2020-0009","pdf_url":"https://sciendo.com/pdf/10.34768/amcs-2020-0009","source":{"id":"https://openalex.org/S117679522","display_name":"International Journal of Applied Mathematics and Computer Science","issn_l":"1641-876X","issn":["1641-876X","2083-8492"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310320322","host_organization_name":"De Gruyter Open","host_organization_lineage":["https://openalex.org/P4310320322","https://openalex.org/P4310313990"],"host_organization_lineage_names":["De Gruyter Open","De Gruyter"],"type":"journal"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Applied Mathematics and Computer Science","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W3046644157.pdf"},"referenced_works_count":19,"referenced_works":["https://openalex.org/W1979812822","https://openalex.org/W1997763492","https://openalex.org/W2016187631","https://openalex.org/W2026807079","https://openalex.org/W2027895669","https://openalex.org/W2030504885","https://openalex.org/W2039957107","https://openalex.org/W2041165932","https://openalex.org/W2055622110","https://openalex.org/W2098182556","https://openalex.org/W2101675075","https://openalex.org/W2103559027","https://openalex.org/W2112910956","https://openalex.org/W2119159934","https://openalex.org/W2122287830","https://openalex.org/W2126607811","https://openalex.org/W2135036909","https://openalex.org/W2137113506","https://openalex.org/W2163973643"],"related_works":["https://openalex.org/W2051487156","https://openalex.org/W2073681303","https://openalex.org/W2053286651","https://openalex.org/W2181743346","https://openalex.org/W2187401768","https://openalex.org/W2181413294","https://openalex.org/W2989452537","https://openalex.org/W2052122378","https://openalex.org/W2544423928","https://openalex.org/W2062023542"],"abstract_inverted_index":{"Motivated":[0],"by":[1],"ideas":[2],"from":[3],"two-step":[4],"models":[5],"and":[6,35,85,123,129],"combining":[7],"second-order":[8,53],"TV":[9],"regularization":[10],"in":[11],"the":[12,26,30,36,44,74,78,82,95,109,112,121,126],"LLT":[13],"model,":[14],"we":[15,41],"propose":[16],"a":[17,60],"coupling":[18],"model":[19,46,128],"for":[20],"MR":[21],"image":[22],"reconstruction.":[23],"By":[24,92],"applying":[25],"variables":[27],"splitting":[28],"technique,":[29],"split":[31],"Bregman":[32],"iterative":[33],"scheme,":[34,100],"alternating":[37],"minimization":[38],"method":[39],"twice,":[40],"can":[42,87],"divide":[43],"proposed":[45,106,113,127],"into":[47],"several":[48],"subproblems":[49],"only":[50],"related":[51],"to":[52,57,107],"PDEs":[54],"so":[55],"as":[56],"avoid":[58],"solving":[59],"fourth-order":[61],"PDE.":[62],"The":[63,115],"solution":[64],"of":[65,81,94,117,125],"every":[66],"subproblem":[67],"is":[68,105],"based":[69],"on":[70],"generalized":[71],"shrinkage":[72],"formulas,":[73],"shrink":[75],"operator":[76],"or":[77],"diagonalization":[79],"technique":[80],"Fourier":[83],"transform,":[84],"hence":[86],"be":[88],"obtained":[89],"very":[90],"easily.":[91],"means":[93],"Barzilai\u2013Borwein":[96],"step":[97],"size":[98],"selection":[99],"an":[101],"ADMM":[102],"type":[103],"algorithm":[104],"solve":[108],"equations":[110],"underlying":[111],"model.":[114],"results":[116],"numerical":[118],"implementation":[119],"demonstrate":[120],"feasibility":[122],"effectiveness":[124],"algorithm.":[130]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":2},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":1}],"updated_date":"2026-07-28T07:46:37.118299","created_date":"2025-10-10T00:00:00"}
